---
_id: '60124'
article_number: '113465'
author:
- first_name: Hendrik
  full_name: Westermann, Hendrik
  id: '60816'
  last_name: Westermann
  orcid: 0000-0002-5034-9708
- first_name: Rolf
  full_name: Mahnken, Rolf
  last_name: Mahnken
citation:
  ama: Westermann H, Mahnken R. Thermodynamically consistent phase-field modeling
    for polycrystalline multi-phase continua. <i>International Journal of Solids and
    Structures</i>. Published online 2025. doi:<a href="https://doi.org/10.1016/j.ijsolstr.2025.113465">10.1016/j.ijsolstr.2025.113465</a>
  apa: Westermann, H., &#38; Mahnken, R. (2025). Thermodynamically consistent phase-field
    modeling for polycrystalline multi-phase continua. <i>International Journal of
    Solids and Structures</i>, Article 113465. <a href="https://doi.org/10.1016/j.ijsolstr.2025.113465">https://doi.org/10.1016/j.ijsolstr.2025.113465</a>
  bibtex: '@article{Westermann_Mahnken_2025, title={Thermodynamically consistent phase-field
    modeling for polycrystalline multi-phase continua}, DOI={<a href="https://doi.org/10.1016/j.ijsolstr.2025.113465">10.1016/j.ijsolstr.2025.113465</a>},
    number={113465}, journal={International Journal of Solids and Structures}, publisher={Elsevier
    BV}, author={Westermann, Hendrik and Mahnken, Rolf}, year={2025} }'
  chicago: Westermann, Hendrik, and Rolf Mahnken. “Thermodynamically Consistent Phase-Field
    Modeling for Polycrystalline Multi-Phase Continua.” <i>International Journal of
    Solids and Structures</i>, 2025. <a href="https://doi.org/10.1016/j.ijsolstr.2025.113465">https://doi.org/10.1016/j.ijsolstr.2025.113465</a>.
  ieee: 'H. Westermann and R. Mahnken, “Thermodynamically consistent phase-field modeling
    for polycrystalline multi-phase continua,” <i>International Journal of Solids
    and Structures</i>, Art. no. 113465, 2025, doi: <a href="https://doi.org/10.1016/j.ijsolstr.2025.113465">10.1016/j.ijsolstr.2025.113465</a>.'
  mla: Westermann, Hendrik, and Rolf Mahnken. “Thermodynamically Consistent Phase-Field
    Modeling for Polycrystalline Multi-Phase Continua.” <i>International Journal of
    Solids and Structures</i>, 113465, Elsevier BV, 2025, doi:<a href="https://doi.org/10.1016/j.ijsolstr.2025.113465">10.1016/j.ijsolstr.2025.113465</a>.
  short: H. Westermann, R. Mahnken, International Journal of Solids and Structures
    (2025).
date_created: 2025-06-03T19:48:12Z
date_updated: 2025-06-06T14:24:50Z
doi: 10.1016/j.ijsolstr.2025.113465
language:
- iso: eng
publication: International Journal of Solids and Structures
publication_identifier:
  issn:
  - 0020-7683
publication_status: published
publisher: Elsevier BV
status: public
title: Thermodynamically consistent phase-field modeling for polycrystalline multi-phase
  continua
type: journal_article
user_id: '60816'
year: '2025'
...
